Algebra 1 Homework

Question

Employees of a furniture manufacturing company spend no more than 125 hours each day building a combination of tables and chairs.

1. It takes 5 hours to build a table and 2 hours to build a chair.
2. The employees must build a combined total of at least 32 tables and chairs each day.

If t represents the number of tables built in a day, and h represents the number of chairs built in a day, which system of inequalities represents the scenario?

A. 5t+2h ≥ 32

t+h ≥ 125

B. 5t+2h ≤ 32

t+h ≥ 125

C. 5t+2h ≥ 125

t+h ≥ 32

D. 5t+2h ≤ 125

t+h ≥ 32

Answer 1

Can't be A or B because the 1st equation (for total hours) should reflect the limit of 125 hrs (not 32) and the 2nd equation should reflect the total number of tables and chairs (32, not 125).

As for C or D, "no more than" is represented by ≤ and "at least" is represented by ≥. Can you decide which choice is correct?